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Finding the Fourth Proportional to 14,083.74, 19,435.27 and 7,710.17

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Solution

The fourth proportional to 14,083.74, 19,435.27 and 7,710.17 is: 10,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.74 : 19,435.27 = 7,710.17 : x
  2. Step 2: Convert to fraction form
    14,083.74/19,435.27 = 7,710.17/x
  3. Step 3: Cross multiply
    14,083.74x = 19,435.27 × 7,710.17
  4. Step 4: Simplify right side
    14,083.74x = 149,849,235.70
  5. Step 5: Solve for x
    x = 149,849,235.70/14,083.74
  6. Step 6: Final answer
    x = 10,639.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.